Question

the cost of 5 oranges and 3 apples is 43 rupees and the cost of 2 oranges and 4 apples is 34 rupees. find the cost of an orange and an apple

Answer 1

Answer: Orange = 5 rupee

Apple = 6 rupees

Explanation:

Let the cost of an orange be x

Let the cost of an apple be y

We can form an equation from the question given which will be:

5x + 3y = 43 ......... i

2x + 4y = 34 ......... ii

Multiply equation i by 2

Multiply equation ii by 5

10x + 6y = 86 ........ iii

10x + 20y = 170 ..... iv

Subtract iii from iv

14y = 84

y = 84/14

y = 6

An apple cost 6 rupees

Since from equation ii

2x + 4y = 34

2x + 4(6) = 34

2x + 24 = 34

2x = 34 - 24

2x = 10

x = 10/2

x = 5

An orange cost 5 rupee